EduSahara™ Worksheet

Question 1

1.

In the given figure, △CDE is right angled at D. If DE = 9 cm and ∠E = 30°, find CD and CE

(i)
3

4
√

3

cm

&

6

√

3

cm
(ii)
3

√

3

cm

&

6

√

3

cm
(iii)
3

4
√

1
3

cm

&

21

cm
(iv)
3

4
√

3

cm

&

18

cm
(v)
3

4
√

3

cm

&

21

cm

Question 2

2.

In the given figure, △FGH is right angled at G. If GH = 8 cm and ∠H = 45°, find FG and FH

(i)
9

cm

&

18

cm
(ii)
9

cm

&

8

√

2

cm
(iii)
7

cm

&

18

cm
(iv)
8

cm

&

8

√

2

cm
(v)
9

cm

&

16

cm

Question 3

3.

In the given figure, △DEF is right angled at E. If EF = 10 cm and ∠F = 60°, find DE and DF

(i)
10

√

3

cm

&

20

cm
(ii)
10

4
√

3

cm

&

19

cm
(iii)
10

4
√

3

cm

&

20

cm
(iv)
10

4
√

1
3

cm

&

21

cm
(v)
10

4
√

3

cm

&

21

cm

Question 4

4.

In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find EG

(i)

17

cm
(ii)

19

cm
(iii)

18

cm
(iv)

21

cm
(v)

15

cm

Question 5

5.

In the given figure, △HJI is right angled at I. If HI = 8 cm and ∠J = 30°, find IJ

(i)

12

√

2

cm
(ii)

8

cm
(iii)

24

cm
(iv)

8

√

18

cm
(v)

8

√

3

cm

Question 6

6.

In the given figure, △EGF is right angled at F. If EF = 8 cm and ∠G = 30°, find EH

(i)

4

cm
(ii)

3

cm
(iii)

2

cm
(iv)

5

cm
(v)

6

cm

Question 7

7.

In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find CD

(i)

10

cm
(ii)

12

cm
(iii)

15

cm
(iv)

11

cm
(v)

13

cm

Question 8

8.

In the given figure, △GIH is right angled at H. If GH = 15 cm and ∠I = 45°, find GI

(i)

15

cm
(ii)

30

√

3

cm
(iii)

30

cm
(iv)

15
2

√

12

cm
(v)

15

√

2

cm

Question 9

9.

In the given figure, △GIH is right angled at H. If GH = 14 cm and ∠I = 45°, find HI

(i)

13

cm
(ii)

11

cm
(iii)

16

cm
(iv)

15

cm
(v)

14

cm

Question 10

10.

In the given figure, △CED is right angled at D. If CD = 13 cm and ∠E = 45°, find CF

(i)

13

√

3

cm
(ii)

13

cm
(iii)

13
2

cm
(iv)

13
4

√

12

cm
(v)

13
2

√

2

cm

Question 11

11.

In the given figure, △IKJ is right angled at J. If IJ = 13 cm and ∠K = 45°, find KL

(i)

13
2

cm
(ii)

13
4

√

12

cm
(iii)

13
2

√

2

cm
(iv)

13

cm
(v)

13

√

3

cm

Question 12

12.

In the given figure, △DFE is right angled at E. If DE = 24 cm and ∠F = 60°, find DF

(i)

16

cm
(ii)

16

√

18

cm
(iii)

48

cm
(iv)

16

√

3

cm
(v)

24

√

2

cm

Question 13

13.

In the given figure, △BDC is right angled at C. If BC = 24 cm and ∠D = 60°, find CD

(i)

8

√

3

cm
(ii)

12

√

2

cm
(iii)

8

cm
(iv)

8

√

18

cm
(v)

24

cm

Question 14

14.

In the given figure, △ACB is right angled at B. If AB = 22 cm and ∠C = 60°, find AD

(i)

11

√

3

cm
(ii)

11

√

18

cm
(iii)

11

cm
(iv)

33
2

√

2

cm
(v)

33

cm

Question 15

15.

In the given figure, △HJI is right angled at I. If HI = 24 cm and ∠J = 60°, find JK

(i)

4

√

3

cm
(ii)

4

√

18

cm
(iii)

12

cm
(iv)

4

cm
(v)

6

√

2

cm

Question 16

16.

A chord of 12 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

8.0 cm
(ii)

5.0 cm
(iii)

4.0 cm
(iv)

6.0 cm
(v)

7.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 10 cm. Find the length of its sides.

(i)

10

√

18

cm
(ii)

30

cm
(iii)

10

√

3

cm
(iv)

15

√

2

cm
(v)

10

cm

Question 18

18.

In the given figure, △EFG is a right angle triangle with ∠G = 90° and FG = 13 cm. R is the mid-point of EG. Find RG

(i)

13
6

cm
(ii)

13
2

cm
(iii)

13
6

√

18

cm
(iv)

13
6

√

3

cm
(v)

13
4

√

2

cm

Question 19

19.

In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 14 cm. S is the mid-point of HJ. Find ∠SIJ using tables.

(i)

14 ° 6 '
(ii)

13 ° 6 '
(iii)

16 ° 6 '
(iv)

18 ° 6 '
(v)

19 ° 6 '

Question 20

20.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 17 cm. P is the mid-point of JL. Find the length of the altitude from L to JK.

(i)

19
2

cm
(ii)

9

cm
(iii)

17
2

cm
(iv)

33
4

cm
(v)

15
2

cm

Question 21

21.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 15 cm. R is the mid-point of IK. Find ∠RJI using tables.

(i)

10 ° 54 '
(ii)

13 ° 54 '
(iii)

11 ° 54 '
(iv)

16 ° 54 '
(v)

15 ° 54 '

Question 22

22.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 14 cm. P is the mid-point of BD. Find PD

(i)

6

cm
(ii)

8

cm
(iii)

5

cm
(iv)

9

cm
(v)

7

cm

Question 23

23.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 13 cm. T is the mid-point of IK. Find ∠TJK using tables.

(i)

26 ° 34 '
(ii)

24 ° 34 '
(iii)

29 ° 34 '
(iv)

23 ° 34 '
(v)

28 ° 34 '

Question 24

24.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 15 cm. S is the mid-point of IK. Find the length of the altitude from K to IJ.

(i)

15
2

cm
(ii)

15
2

√

2

cm
(iii)

15

√

3

cm
(iv)

15

cm
(v)

15
4

√

12

cm

Question 25

25.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 16 cm. Q is the mid-point of FH. Find ∠QGF using tables.

(i)

16 ° 26 '
(ii)

20 ° 26 '
(iii)

15 ° 26 '
(iv)

18 ° 26 '
(v)

21 ° 26 '

Question 26

26.

In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 13 cm. P is the mid-point of GI. Find PI

(i)

13
2

√

3

cm
(ii)

13
2

√

18

cm
(iii)

13
2

cm
(iv)

39
4

√

2

cm
(v)

39
2

cm

Question 27

27.

In the given figure, △HIJ is a right angle triangle with ∠J = 90° and IJ = 16 cm. S is the mid-point of HJ. Find ∠SIJ using tables.

(i)

42 ° 53 '
(ii)

43 ° 53 '
(iii)

37 ° 53 '
(iv)

40 ° 53 '
(v)

38 ° 53 '

Question 28

28.

In the given figure, △GHI is a right angle triangle with ∠I = 90° and HI = 14 cm. S is the mid-point of GI. Find the length of the altitude from I to GH.